The ratio of Bobby's age to Owen's age is 3 : 2. Next year, their average age will be 16. How old will Bobby be in 5 years' time?
|
Bobby |
Owen |
Total |
Before |
3 u |
2 u |
30 |
Change |
+ 1 |
+ 1 |
|
After |
3 u + 1 |
2 u + 1 |
32 |
Total age of Bobby and Owen this year
= 3 u + 2 u
= 5 u
Total age of Bobby and Owen this year
= 2 x 16 - 1 - 1
= 32 - 2
= 30
5 u = 30
1 u = 30 ÷ 5 = 6
Bobby's age in 5 years' time
= 3 u + 5
= 3 x 6 + 5
= 18 + 5
= 23
Answer(s): 23